Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 168

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. biae
  2. b26. terg.
  3. 22. terti.
  4. R CV LVS.
  5. 2. Radius A C maior (IC recta A B: iutGAH-
  6. cur C B, BD: X AB rectae, aequalis ap-
  7. plicetur CF, iunsancurgi AB, AD. Ouo-
  8. niam isieue CF. linea, xqualis ponicur re
  9. etx AB, e C. A aqualis ipli AD, AnC au
  10. tem e circulI ABC, ABD per construc.
  11. incet le aequales, Crit aEcus +C F. X qualisar-
  12. cuI AB, _E arCUS CF A, aequalis areui
  13. ABD: vndc angulus AB D, aequalisb an.
  14. suto AF C. sed anguluS AF C vna cum
  15. angulo c AB C duobus rectis est equalis,
  16. isicur ex angulus ABD, cum angulo ABC
  17. duobus rectis aequatur. quare CB, BD li-
  18. nex in directum lune.
  19. 3. Racius AC. aequalis sic radio AB. p2.
  20. cec punctum D, incidere in B. igieUF, etc.
  21. Ouod Fuir demonstrandum.
  22. PROPOSITTO II
  23. uo xquales duvenculi in A e B. circuli quoque
  24. E B diaMeFer (IE AB, duCaEUTG: recta quenIS AD, OCCUFFENS
  25. Ccurranelibi
  26. Dico in F. bitariam diuic rectam DC.
  27. perimetris circulorum aequaliura in D, e C, e circulo AE B in F.
  28. emontotatio.
  29. TAdANEDMMO PaNCId L. eE D, ad can-
  30. dem parcem lincae AB; ducantur rectae
  31. DB. CB, EB: Duoniam angulus C AB,
  32. duobus arcubus D B, C B circulorum equ2-
  33. lium insictic, x quales crunc subrenle D B, C Bi
  34. ac proinde anguli F DB, F CB, aquales;
  35. Cuncauce anguli D F. B, CE B, Fecti ob AF B
  36. Temicireulum, _ F B verique criangulorum
  37. DBR, BF C communis; criangula isicuE
  38. DEB, C F B, Xqualia suncincer se, de similia;
  39. quare _ CD in F bitariam diuila.
  40. Secundo sic A punctummedium inter D,
  41. ex B: Cum circuli ACB, ADB, UnC aequa-
  42. les, e AB linca, verique communis criangulo:
  43. DEB, FB C, erunc anguli ADB, ACB, in-
  44. ter le aequalesi quare cum anguli quoque ad
  45. E recti (ine, crunc eriangula DF B, K B C in-
  46. cer le aequalia e similia; ac proinde D L rectE
  47. EC aequalis.
  48. AFB in A: punctum quoque D idem sic
  49. cum A, quia igitur AC contingie circulum
  50. AFB, cric angulus C AB, xqualis sangulo
  51. Ccomenci DFB, ac proinde angulo AC B
  52. (cum AFB, AC B Tegmenca sunc a qualiai)
  53. quare aequales quoque Tune anguli B AC.
  54. BC A: de quia angulus AF B rectus est in.
  55. cemin
  56. Tercio linea AC concingae circulum
  57. ut pui t i s a ti u te pie i e pua pute u pe ut . e e t u e tt t e e 1 e p en t

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 168. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0225?run=74